On local solvability for a class of generalized Mizohata equations

L. R. Nunes; J. R. Dos Santos Filho

doi:10.3934/cpaa.2021081

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2021, Volume 20, Issue 6: 2323-2340. Doi: 10.3934/cpaa.2021081

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On local solvability for a class of generalized Mizohata equations

L. R. Nunes^1, , and
J. R. Dos Santos Filho^2,

1.
Universidade Federal do Rio Grande, Instituto de Matemática, Estatística e Física, RS, Brazil
2.
Universidade Federal de São Carlos, Departamento de Matemáica, SP, Brazil

^* Corresponding author
^* Corresponding author

Received: September 30, 2020

Revised: February 28, 2021

Early access: May 2021

Published: June 2021

The first author was partially supported by CAPES. The second author is a associate researcher of the Thematic project no. 2018/14316-3 (FAPESP)

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Abstract

The image in $ C^{\infty} $ for a class of complex vector fields, containing the Mizohata operator, was characterized.

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Mathematics Subject Classification: Primary: 35F05; Secondary: 35A01.

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Figure 1. Integration domain complexification

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References

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